Atkin-Lehner |
5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35035g |
Isogeny class |
Conductor |
35035 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
-201969803035 = -1 · 5 · 710 · 11 · 13 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 11- 13- 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3653783,2688204104] |
[a1,a2,a3,a4,a6] |
j |
-45852574428123549696/1716715 |
j-invariant |
L |
1.0746025161963 |
L(r)(E,1)/r! |
Ω |
0.53730125809323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5005f1 |
Quadratic twists by: -7 |